Page 7 - Focus SPM 2022 - Additional Mathematics

Additional Mathematics SPM Chapter 1 Functions

Example of HOTS The vertical line intersects the
HOTS Question
graph at only one point.
Determine whether the relationship between the
number of tyres purchased and the total price in
the following advertisement represents a function.
Explain your answer. Graph of a The graph of relation f is a
function.
relation,
Penerbitan Pelangi Sdn Bhd. All Rights Reserved.
Valid until end
of this month only f
The vertical line does not
intersect at any point, or
intersect at more than one
point in the graph.
Get your fourth tyre for
FREE!
The graph of relation f is not a
Form 4
Buy 1 RM250 function.
Buy 2 RM500
Buy 3 RM750
Buy 4 RM750
Solution 2
Function. Each object only has one image, i.e. buy 1
→ RM250, Buy 2 → RM500, Buy 3 → RM750, Buy Using the vertical line test, determine whether the

4 → RM750. following relations represented by each of these
graphs are y as a function of x. Justify your answers.
Try this HOTS question (a) y (b) y

The following table shows the formula in a
spreadsheet which is used to determine the areas
of circles with different radii. Determine whether O x
the relationship between the radius and the area x
of circle is a function. Explain your answer. O

(c) y
Radius Area
x
0
x = 1

Solution
Function. Each output only has one input. Solution
(a) This is not a graph of y as a function of x. The
vertical line intersects the graph at two different
points.
(a) Vertical line test
y
In this graph, for
1. The vertical line test can be used to determine any one input value
whether a graph of a relationship represents a x, there are more
function. than one output
value y.
x
O

4